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Finding the Third Proportional to 81,952 and 130,464

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Solution

The third proportional to 81,952 and 130,464 is: 207,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,952 : 130,464 = 130,464 : x
  2. Step 2: Convert to fraction form
    81,952/130,464 = 130,464/x
  3. Step 3: Cross multiply
    81,952x = 130,464 × 130,464
  4. Step 4: Simplify right side
    81,952x = 17,020,855,296
  5. Step 5: Solve for x
    x = 17,020,855,296/81,952
  6. Step 6: Final answer
    x = 207,692.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.